2153856960 has 224 divisors, whose sum is σ = 7686446400. Its totient is φ = 567705600.

The previous prime is 2153856937. The next prime is 2153856961. The reversal of 2153856960 is 696583512.

2153856960 is a `hidden beast` number, since 2 + 1 + 538 + 56 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153856961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767560 + ... + 770360.

Almost surely, 2^2153856960 is an apocalyptic number.

2153856960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843223200).

2153856960 is an abundant number, since it is smaller than the sum of its proper divisors (5532589440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2153856960 is a wasteful number, since it uses less digits than its factorization.

2153856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2153856960 is about 46409.6645107460. The cubic root of 2153856960 is about 1291.4342080090.

The spelling of 2153856960 in words is "two billion, one hundred fifty-three million, eight hundred fifty-six thousand, nine hundred sixty".